Answer: 0.1067 as a fraction is 1067/10000
Converting the decimal number 0.1067 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
Step 1: Understand the DecimalThe decimal 0.1067 can be broken down as:
0.1067 = 0 + 0.1067
Here, 0 is the whole number part, and 0.1067 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1067, to a fraction. To do this, consider the place value of the decimal:
0.1067 =
1067
10000
Now, simplify the fraction 1067/10000. To do this, find the greatest common divisor (GCD) of 1067 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1067 ÷ 1
10000 ÷ 1
=
1067
10000
So, 0.1067 as a fraction is 1067/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1067 = 0 + 0.1067, express the entire number as a mixed fraction:
0.1067
= 0 +
1067
10000
=
0
10000
+
1067
10000
=
1067
10000
Here, 0/10000 is the whole number 0, and 1067/10000 is the fractional part.
Final Result: Fraction Form of 0.1067 After simplifying, we get the final fraction:
Answer: 0.1067 = 1067/10000
Converting 0.1067 to a fraction results in 1067/10000. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.